Bulletin of the American Mathematical Society

MathSciNet review: 1566863
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Book Information:

Author: J. W. Schutz
Title: Foundations of special relativity: Kinematic axioms for Minkowski space-time
Additional book information: Lecture Notes in Mathematics, No. 361, Springer-Verlag, Berlin, Heidelberg, New York, 1973, xx+314 pp.

1.

Z. Domotor, Causal models and space-time geometries, Synthese 24 (1972), 5-57.

2.

A. Einstein, Zur Elektrodynamik bewegter Körper, Ann. Phys. 17 (1905), 891.

Hans Freudenthal, Lie groups in the foundations of geometry, Advances in Math. 1 (1964), no. fasc. 2, 145–190. MR 170974, DOI 10.1016/0001-8708(65)90038-1

4.

R. W. Latzer, Nondirected light signals and the structure of time, Synthese 24 (1972), 236-280.

5.

A. A. Robb, Geometry of time and space, Cambridge Univ. Press, Cambridge, England, 1936.

G. Szekeres, Kinematic geometry: An axiomatic system for Minkowski space-time, J. Austral. Math. Soc. 8 (1968), 134–160. MR 0230536

J. Tits, Etude de certains espaces métriques, Bull. Soc. Math. Belgique 1952 (1952), 44–52 (1953) (French). MR 58192

J. Tits, Sur certaines classes d’espaces homogènes de groupes de Lie, Acad. Roy. Belg. Cl. Sci. Mém. Coll. in 8$^\circ$ 29 (1955), no. 3, 268 (French). MR 76286

A. G. Walder, Foundations of relativity. I, II, Proc. Roy. Soc. Edinburgh Sect. A 62 (1948), 319–335. MR 25308

A. G. Walker, Axioms for cosmology, Proceedings of an International Symposium held at the Univ. of Calif., Berkeley, Dec. 26, 1957-Jan. 4, 1958, Studies in Logic and the Foundations of Mathematics, North-Holland Publishing Co., Amsterdam, 1959, pp. 308–321. The axiomatic method; With special reference to geometry and Physics; Edited by L. Henkin, P. Suppes and A. Tarski. MR 0107545

1.

Z. Domotor, Causal models and space-time geometries, Synthese 24 (1972), 5-57.

2.

A. Einstein, Zur Elektrodynamik bewegter Körper, Ann. Phys. 17 (1905), 891.

3.

H. Freudenthal, Lie groups in the foundations of geometry, Advances in Math. 1 (1964), fasc. 2, 145-190. MR 30 #1208. MR 0170974

4.

R. W. Latzer, Nondirected light signals and the structure of time, Synthese 24 (1972), 236-280.

5.

A. A. Robb, Geometry of time and space, Cambridge Univ. Press, Cambridge, England, 1936.

6.

G. Szekeres, Kinematic geometry: An axiomatic system for Minkowski space-time, J. Austral. Math. Soc. 8 (1968), 134-160. MR 37 #6098. MR 230536

7.

J. Tits, Étude de certains espaces métriques, Bull. Soc. Math. Belgique 1952, 44-52 (1953). MR 15, 334. MR 58192

8.

J. Tits, Sur certaines classes d'espaces homogènes de groupes de Lie, Acad. Roy. Belg. Cl. Sci. Mém. Coll. 8° 29 (1955), no. 3, 268 pp. MR 17, 874. MR 76286

9.

A. G. Walker, Foundations of relativity. I, II, Proc. Roy. Soc. Edinburgh Sect. A 62 (1948), 319-335. MR 9, 626. MR 25308

10.

A. G. Walker, Axioms for cosmology, The Axiomatic Method, with Special Reference to Geometry and Physics (Proc. Internat. Sympos., Univ. California, Berkeley, Calif., 1958), Studies in Logic and the Foundations of Math., North-Holland, Amsterdam, 1959, pp. 308-321. MR 21 #6270. MR 107545